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Math Help - Kite....

  1. #1
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    Question Kite....

    P and Q are 2 distinct points in the interior of the square ABCD such that AP =Aq and angle BAP is congruent to angle DAQ.Show that APCQ is a KITE
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  2. #2
    Super Member Matt Westwood's Avatar
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    Quote Originally Posted by anshulbshah View Post
    P and Q are 2 distinct points in the interior of the square ABCD such that AP =Aq and angle BAP is congruent to angle DAQ.Show that APCQ is a KITE
    To show it's a kite, you need to show that AP = AQ and PC = QC.

    That's because a kite has two pairs of adjacent sides that are the same.

    You already have that AP = AQ, all you need to do then is show PC = QC, which can be done with straightforward geometry. Draw it and you'll find the figure you have is mirror-symmetrical in the diagonal AC.
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    Quote Originally Posted by Matt Westwood View Post
    To show it's a kite, you need to show that AP = AQ and PC = QC.

    That's because a kite has two pairs of adjacent sides that are the same.

    You already have that AP = AQ, all you need to do then is show PC = QC, which can be done with straightforward geometry. Draw it and you'll find the figure you have is mirror-symmetrical in the diagonal AC.
    Thank you Matt Westwood,But could please tell me the method to write....
    Anshul
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  4. #4
    Super Member Matt Westwood's Avatar
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    Quote Originally Posted by anshulbshah View Post
    Thank you Matt Westwood,But could please tell me the method to write....
    Anshul
    Not sure I can do that. I don't know how you've been taught to present your work.
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